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1
Put the oil in a large deep skillet or flameproof casserole with a lid and turn the heat to medium-high.
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2
Add the lamb, sprinkling the meat with salt and pepper as it browns.
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3
When the pieces are deeply browned, after at least 10 minutes, transfer to a plate; pour or spoon off any excess fat.
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4
Add the vegetables and the oregano, along with some more salt and pepper, and cook, stirring occasionally, until the onions soften, 5 to 10 minutes.
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5
If you are using shanks, remove the vegetables with a slotted spoon and set aside.
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6
Add the wine and let the mixture bubble for about a minute.
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7
Remove about 1/2 cup of dill leaves and reserve; tie the dill stems with the remaining attached leaves into a bundle and add to the pot along with the stock.
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8
Return the lamb to the pot and cover.
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9
Adjust the heat so the mixture simmers steadily but not violently.
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10
If youre using lamb shanks, return the vegetables to the pot when they are nearly tender, an hour or more later.
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11
In any case, cook until the lamb is tender.
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12
(You can prepare the dish to this point and let sit for a few hours or cover and refrigerate for up to a day before reheating and proceeding.)
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13
When the lamb is nearly done, make the Avgolemono.
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14
Turn the heat to low, then stir the sauce into the lamb and heat through; do not boil.
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15
Taste and adjust the seasoning and serve in bowls, garnished with the reserved dill.
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16
If you do not wish to make Avgolemono, simply prepare the stew as directed and finish it with the juice of a lemon, or more to taste.